Theorem REF  states that the minimax solution equals the maximin solution.
This means that the value function is, as a saddle point, the equilibrium outcome at which each player simultaneously plays the best response against the other player's strategy.
This may not always hold true for a general class of risk-sensitive control problems: the convexity of the outcome function with respect to the trader's policy and the convexity of the policy space are required in our proof (Appendix REF ) in order to apply Sion's minimax theorem [1]}.
